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Finding the Fourth Proportional to 19,489.42, 29,231.70 and 11,488.78

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Solution

The fourth proportional to 19,489.42, 29,231.70 and 11,488.78 is: 17,231.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,489.42 : 29,231.70 = 11,488.78 : x
  2. Step 2: Convert to fraction form
    19,489.42/29,231.70 = 11,488.78/x
  3. Step 3: Cross multiply
    19,489.42x = 29,231.70 × 11,488.78
  4. Step 4: Simplify right side
    19,489.42x = 335,836,570.33
  5. Step 5: Solve for x
    x = 335,836,570.33/19,489.42
  6. Step 6: Final answer
    x = 17,231.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.